在求解坝与地基动力相互作用时 ,为了消除地基材料对地震运动的放大作用常常忽略地基质量。但在求解动力平衡方程时为了消除质量矩阵的病态 ,地基质量被赋以很小的值代表无质量地基。为了从动力平衡方程中消除零质量矩阵 ,用矩阵理论对其进行分块简化 ,从而大大缩减了方程的自由度和复杂度 ,并导出了地基对上部结构的耦合作用刚度矩阵 ,使地基刚度在相互作用方程式中显示化。结果表明 ,用新方法求解的坝体动力反应与传统方法所求解的动力反应完全一致 When solving the dynamic interaction between dam and foundation, the quality of foundation is often neglected in order to eliminate the amplification effect of foundation materials on earthquake motion. However, in order to eliminate the pathological condition of the mass matrix in solving the dynamic equilibrium equation, the foundation quality is assigned a small value to represent the massless foundation. In order to eliminate the zero-mass matrix from the dynamic balance equation, the matrix theory is used to simplify the block, which greatly reduces the degree of freedom and complexity of the equation and deduces the coupling stiffness matrix of the foundation to the superstructure, The interaction equation is shown in the equation. The results show that the dynamic response of the dam solved by the new method is completely consistent with that of the traditional method